Question

find the distance between the points (7, -3) and (0, 2). write your answer as a whole number or a fully simplified radical expression. do not round. units

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $(x_1,y_1)=(7,-3)$ and $(x_2,y_2)=(0,2)$.

Step2: Substitute values

$d=\sqrt{(0 - 7)^2+(2-(-3))^2}=\sqrt{(-7)^2+(2 + 3)^2}=\sqrt{49+25}$.

Step3: Simplify

$d=\sqrt{74}$ units.

Answer:

$\sqrt{74}$ units